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Finding the Fourth Proportional to 7,102.30, 9,801.18 and 4,119.88

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Solution

The fourth proportional to 7,102.30, 9,801.18 and 4,119.88 is: 5,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.30 : 9,801.18 = 4,119.88 : x
  2. Step 2: Convert to fraction form
    7,102.30/9,801.18 = 4,119.88/x
  3. Step 3: Cross multiply
    7,102.30x = 9,801.18 × 4,119.88
  4. Step 4: Simplify right side
    7,102.30x = 40,379,685.46
  5. Step 5: Solve for x
    x = 40,379,685.46/7,102.30
  6. Step 6: Final answer
    x = 5,685.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.